17. Goodness of Fit test

Fifty years ago, the Big Three automakers dominated car sales in this country. Back then, Ford accounted for 8% of sales, GM for 26% and Chrysler for 16%. Foreign automakers accounted for 30% of sales. Data for 158 recent car purchases was collected, and is summarized in the table below. Use the data to test the claim that the pattern from fifty years ago is still in place, using the 0.05 level of significance. Show all steps of the hypothesis test: State hypotheses, Make sketch, Find critical value, Calculate test statistic by hand, State decision and State conclusion. (10 points)